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3 years ago

Simply 3x to the power of 2 of over 9x to the power of 5

Mathematics

1 answer:

77julia77 [94]3 years ago

3 0

Answer:

1/6561x³ or 6561x⁻³

Step-by-step explanation:

(3x)²/(9x)⁵

(3²)(x²)/(9⁵)(x⁵)

9x²/59049x⁵

9/59049x³

1/6561x³ or 6561x⁻³

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Can x and y intercepts be in decimals or fractions?

Alenkinab [10]

Yes it can be in fractions and in decimals

8 0

3 years ago

Read 2 more answers

A bad contains 4 red marbles and 5 blue marbles. Two marbles are randomly drawn without replacement. Find the probability both m

kolbaska11 [484]

The probability is 2/9 because there are 9 marbles and 2 marbles were pulled out. hope I helped XD

5 0

3 years ago

Jackie scored 81 and 87 on her first two quizzes . Write and solve a compound inequality to find the possible values for a third

asambeis [7]

Answer:

The third score must be larger than or equal to 72, and smaller than or equal 87

Step-by-step explanation:

Let's name "x" the third quiz score for which we need to find the values to get the desired average.

Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:

$average=\frac{81+87+x}{3}$

SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:

$80\leq average\leq 85\\80\leq \frac{81+87+x}{3} \leq 85\\80\leq \frac{168+x}{3} \leq 85$

Now we can proceed to solve for the unknown "x" treating each inaquality at a time:

$80\leq \frac{168+x}{3}\\3*80\leq 168+x\\240\leq 168+x\\240-168\leq x\\72\leq x$

This inequality tells us that the score in the third quiz must be larger than or equal to 72.

Now we study the second inequality to find the other restriction on "x":

$\frac{168+x}{3} \leq 85\\168+x\leq 85 *3\\168+x\leq 255\\x\leq 255-168\\x\leq 87$

This ine $72\leq x} \leq 87$ quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.

Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:

4 0

3 years ago

12. Currently, there are 350 students in the seventh grade at Winchester

sweet [91]

Answer:

Winchester Heights Middle School plan to have 385 students in the upcoming school year.

Step-by-step explanation:

Total number of students in the seventh grade at Winchester Heights Middle School = 350

For the upcoming school year, they are planning to increase the number of seventh graders by 10%.

Rate of increase = r = 10% = 0.1

Formula : $N(t)=N_0(1+r)^t$

Where $N_0$ = initial population = 350

r = rate of increase =0.1

N(t)=Population after t years

t = time in years

So, Population after 1 year = $350(1+0.1)^1 =385$

Hence Winchester Heights Middle School plan to have 385 students in the upcoming school year.

5 0

3 years ago

One half liter of lemonade concentrate is added to 3 liters of water. how many one thirds liter servings of lemonade are made.

uysha [10]

So, 3 liters of water, add 1/2 liter of lemonade, that's 3 and 1/2 liters of lemonade.

so in short, how many times does 1/3 go into 3 and 1/2?

let's change the mixed to "improper" and divide then.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\
-------------------------------\\\\
\cfrac{\quad \frac{7}{2}\quad }{\frac{1}{3}}\implies \cfrac{7}{2}\cdot \cfrac{3}{1}\implies \cfrac{21}{2}\implies 10\frac{1}{2}$

8 0

3 years ago